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Strong converse for identification via quantum channels

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2 Author(s)
Ahlswede, R. ; Fak. fur Math., Bielefeld Univ., Germany ; Winter, A.

We present a simple proof of the strong converse for identification via discrete memoryless quantum channels, based on a novel covering lemma. The new method is a generalization to quantum communication channels of Ahlswede's (1979, 1992) approach to classical channels. It involves a development of explicit large deviation estimates to the case of random variables taking values in self-adjoint operators on a Hilbert space. This theory is presented separately in an appendix, and we illustrate it by showing its application to quantum generalizations of classical hypergraph covering problems

Published in:
Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 3 )

Date of Publication: Mar 2002

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